Estimate the simple linear regression relationship

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Repeat problem 1 for the regression of problem 3.

Problem 1
Produce residual plots for the regression of problem 2. Is there any apparent model inadequacy?

Problem 2
An article in the Journal of Monetary Economics assesses the relationship between percentage growth in wealth over a decade and a half of savings for baby boomers of age 40 to 55 with these people's income quartiles. The article presents a table showing five income quartiles, and for each quartile there is a reported percentage growth in wealth. The data are as follows.

Income quartile:

1

2

3

4

5

Wealth growth (%):

17.3

23.6

40.2

45.8

56.8

Run a simple linear regression of these five pairs of numbers and estimate a linear relationship between income and percentage growth in wealth.

Problem 3
Recently, research efforts have focused on the problem of predicting a manufacturer's market share by using information on the quality of its product. Suppose that the following data are available on market share, in percentage (Y ), and product quality, on a scale of 0 to 100, determined by an objective evaluation procedure (X ):

X: 27 39 73 66 33 43 47 55 60 68 70 75 82

Y:  2   3 10   9  4   6   5   8  7    9 10 13 12

Estimate the simple linear regression relationship between market share and product quality rating.

Reference no: EM131381802

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